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Finding the Third Proportional to 8,767 and 13,243

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Solution

The third proportional to 8,767 and 13,243 is: 20,004.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767 : 13,243 = 13,243 : x
  2. Step 2: Convert to fraction form
    8,767/13,243 = 13,243/x
  3. Step 3: Cross multiply
    8,767x = 13,243 × 13,243
  4. Step 4: Simplify right side
    8,767x = 175,377,049
  5. Step 5: Solve for x
    x = 175,377,049/8,767
  6. Step 6: Final answer
    x = 20,004.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.